Pith Number

pith:DHIO65J7

pith:2013:DHIO65J75RD7FACP2QC4UV55NA

not attested not anchored not stored refs pending

Universal graphs and universal permutations

Aistis Atminas, Alexandr Valyuzhenich, Sergey Kitaev, Vadim V. Lozin

arxiv:1307.6192 v1 · 2013-07-23 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DHIO65J75RD7FACP2QC4UV55NA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:17:45.105523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19d0ef753fec47f2804fd405ca57bd681e14535431a188b25753d755039445e6

Aliases

arxiv: 1307.6192 · arxiv_version: 1307.6192v1 · doi: 10.48550/arxiv.1307.6192 · pith_short_12: DHIO65J75RD7 · pith_short_16: DHIO65J75RD7FACP · pith_short_8: DHIO65J7

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DHIO65J75RD7FACP2QC4UV55NA \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 19d0ef753fec47f2804fd405ca57bd681e14535431a188b25753d755039445e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c8732d67783dc227c8ef17f0906cbdfd0cebc26cb21ae1d37cce03d274cad17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-23T19:00:53Z",
    "title_canon_sha256": "d6836dfc6fbb9731d8405c5540d39953c9181a722095eb288ffc5c5ff37247f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6192",
    "kind": "arxiv",
    "version": 1
  }
}